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. 2012 Jun 22;14(1):15–27. doi: 10.1093/biostatistics/kxs018

Table 1.

Lead times (ℓ) and HRs when actual diagnosis occurs at a PSA of m(aA)=10.0 ng/mL and early diagnosis occurs at a PSA threshold of m(aE)=2.5 or 4.0 ng/mL under hazard functions h2 (using PSA only) and h3 (using PSA and age). Results assume an exponential survival model

Hazard function θ2 Inline graphic Inline graphic m(aE) HR SE 95% CI
Overall
h2 0.10 0.002 2.50 13.86 0.99 0.00 0.98, 0.99
0.10 0.002 4.00 9.16 0.99 0.00 0.98, 1.00
0.20 0.002 2.50 6.93 0.99 0.00 0.98, 0.99
0.20 0.002 4.00 4.58 0.99 0.00 0.98, 1.00
h3 0.10 0.002 0.03 2.50 13.86 0.68 0.10 0.50, 0.90
0.10 0.002 0.03 4.00 9.16 0.77 0.08 0.63, 0.93
0.20 0.002 0.03 2.50 6.93 0.82 0.06 0.70, 0.94
0.20 0.002 0.03 4.00 4.58 0.87 0.04 0.79, 0.96
Low grade
h2 0.10 0.002 2.50 13.86 0.99 0.01 0.97, 1.00
0.10 0.002 4.00 9.16 0.99 0.01 0.98, 1.00
0.20 0.002 2.50 6.93 0.99 0.01 0.97, 1.00
0.20 0.002 4.00 4.58 0.99 0.01 0.98, 1.00
h3 0.10 0.002 0.04 2.50 13.86 0.59 0.15 0.36, 0.93
0.10 0.002 0.04 4.00 9.16 0.70 0.11 0.51, 0.95
0.20 0.002 0.04 2.50 6.93 0.76 0.09 0.59, 0.96
0.20 0.002 0.04 4.00 4.58 0.83 0.07 0.71, 0.97
High grade
h2 0.10 0.015 2.50 13.86 0.89 0.05 0.80, 0.99
0.10 0.015 4.00 9.16 0.91 0.04 0.84, 0.99
0.20 0.015 2.50 6.93 0.89 0.05 0.80, 0.99
0.20 0.015 4.00 4.58 0.91 0.04 0.84, 0.99
h3 0.10 0.014 −0.02 2.50 13.86 1.25 0.32 0.74, 2.00
0.10 0.014 −0.02 4.00 9.16 1.14 0.19 0.80, 1.56
0.20 0.014 −0.02 2.50 6.93 1.05 0.14 0.80, 1.36
0.20 0.014 −0.02 4.00 4.58 1.02 0.09 0.85, 1.21